Muhammad Inam

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20172026

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math.GR2026

The word problem for a family of one relation Adian inverse semigroups

Muhammad Inam

The word problem for an Adian inverse semigroup given by the presentation $I n v ⟨ a, b ∣ a = b a^{n} b ⟩$ , where $n \geq 1$ , is decidable.

math.GR2020

The word problem for some classes of one relation Adian inverse semigroups

Muhammad Inam

We show that if the Schützenberger graph of every positive word, that contains an $R$ -word only once as it's subword, is finite over an Adain presentation $⟨ X ∣ u = v ⟩$ , t…

math.GR2017

The word problem for some classes of Adian inverse semigroups

Muhammad Inam

We show that all of the Schützenberger complexes of an Adian inverse semigroup are finite if the Schützenberger complex of every positive word is finite. This enables us to solve t…